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Finding the Fourth Proportional to 230.40, 317.87 and 132.14

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Solution

The fourth proportional to 230.40, 317.87 and 132.14 is: 182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.40 : 317.87 = 132.14 : x
  2. Step 2: Convert to fraction form
    230.40/317.87 = 132.14/x
  3. Step 3: Cross multiply
    230.40x = 317.87 × 132.14
  4. Step 4: Simplify right side
    230.40x = 42,001.09
  5. Step 5: Solve for x
    x = 42,001.09/230.40
  6. Step 6: Final answer
    x = 182.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.